Displaying similar documents to “Tilings of convex polygons”

Extension of CR functions to «wedge type» domains

Andrea D'Agnolo, Piero D'Ancona, Giuseppe Zampieri (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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Let X be a complex manifold, S a generic submanifold of X R , the real underlying manifold to X . Let Ω be an open subset of S with ∂ ⁡ Ω analytic, Y a complexification of S . We first recall the notion of Ω -tuboid of X and of Y and then give a relation between; we then give the corresponding result in terms of microfunctions at the boundary. We relate the regularity at the boundary for ∂ ¯ b to the extendability of C ⁢ R functions on Ω to Ω -tuboids of X . Next, if X has complex dimension 2, we give results...

Sets Expressible as Unions of Staircase n -Convex Polygons

Marilyn Breen (2011)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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Let k and n be fixed, k ≥ 1 , n ≥ 1 , and let S be a simply connected orthogonal polygon in the plane. For T ⊆ S , T lies in a staircase n -convex orthogonal polygon P in S if and only if every two points of T see each other via staircase n -paths in S . This leads to a characterization for those sets S expressible as a union of k staircase n -convex polygons P i , 1 ≤ i ≤ k .

On an approximation property of Pisot numbers II

Toufik Zaïmi (2004)

Journal de Théorie des Nombres de Bordeaux

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Let q be a complex number, m be a positive rational integer and l m ( q ) = inf { P ( q ) , P ∈ ℤ m [ X ] , P ( q ) ≠ 0 } , where ℤ m [ X ] denotes the set of polynomials with rational integer coefficients of absolute value ≤ m . We determine in this note the maximum of the quantities l m ( q ) when q runs through the interval ] m , m + 1 [ . We also show that if q is a non-real number of modulus > 1 , then q is a complex Pisot number if and only if l m ( q ) > 0 for all m .

On units of some fields of the form ℚ ( 2 , p , q , - l )

Mohamed Mahmoud Chems-Eddin (2023)

Mathematica Bohemica

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Let p ≡ 1 ( mod 8 ) and q ≡ 3 ( mod 8 ) be two prime integers and let ℓ ∉ { - 1 , p , q } be a positive odd square-free integer. Assuming that the fundamental unit of ℚ ( 2 p ) has a negative norm, we investigate the unit group of the fields ℚ ( 2 , p , q , - ℓ ) .

The unit group of some fields of the form ℚ ( 2 , p , q , - l )

Moha Ben Taleb El Hamam (2024)

Mathematica Bohemica

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Let p and q be two different prime integers such that p ≡ q ≡ 3 ( mod 8 ) with ( p / q ) = 1 , and l a positive odd square-free integer relatively prime to p and q . In this paper we investigate the unit groups of number fields 𝕃 = ℚ ( 2 , p , q , - l ) .